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Finding the Fourth Proportional to 10,813.96, 16,206.80 and 5,544.50

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Solution

The fourth proportional to 10,813.96, 16,206.80 and 5,544.50 is: 8,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.96 : 16,206.80 = 5,544.50 : x
  2. Step 2: Convert to fraction form
    10,813.96/16,206.80 = 5,544.50/x
  3. Step 3: Cross multiply
    10,813.96x = 16,206.80 × 5,544.50
  4. Step 4: Simplify right side
    10,813.96x = 89,858,656.98
  5. Step 5: Solve for x
    x = 89,858,656.98/10,813.96
  6. Step 6: Final answer
    x = 8,309.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.